The multi-millionaire business tycoon became embroiled in a late night Twitter row after sending the “horrendous” tweet to one of his young fans.

Offended Elena Raouna, 23, is now demanding an apology from the TV star for insulting her in front of his 3.87million followers.

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The spat began when Elena sent the Amstrad chief a cheeky message on Sunday night, which read: “Evening sugar ;-) can I call you that? Lol.”

But she was left stunned when the business boss, who is currently in the USA, responded by saying “yes no problem as long as I can call you fatty.”

Within hours his message was retweeted more than 300 times and favourited by 250 followers.

When another of his followers asked him: “Was there any need to reply in that manner?” he replied “get stuffed and mind your own business” before blocking his critics.

(Image: Elena Raouna / Twitter)

The 67-year-old’s tweets prompted one follower to warn him: “Think Lord has had a shandy or two and i strongly advice him (sic) to go to bed.”

The plus-sized model, dubbed Miss Fish and Hips after swapping her job in her family’s restaurant for life as a curvy model, said she’d sent the “friendly tweet” to get his attention as she is a “massive fan” of his show.

Talking about the tweets, which were last night still visible on Lord Sugar’s official account, she said: “I’m still absolutely fuming. It was so cruel.

“I can see people joking about it online and it’s as if he’s sent out a message to his followers saying it’s ok to call people fat.

“I just sent a quirky tweet to get his attention and stand out amid is three million followers.

“It was just a friendly tweet to say ‘hi’ but my face froze in shock with his reply and I had to check it was his official Twitter page because I couldn’t believe he would be so abusive.

“To show I could take it on the chin I said about rather be called ‘Chubbs’ but then he blocked me. He was obviously not joking! It’s cyber bullying.

“I’m a size 16, which is the average size for a woman. He is not just putting me down but most of the women in this country!

“I think the least I deserve is an apology. He is a Lord and a role model. He is old enough to be my grandfather and this is really disgraceful. If he was my grandfather I’d have been ashamed.

“I’m a very friendly outgoing bubbly character who tries to be a good role model to other women like me. What sort of role model is he?

(Image: BBC)

“I’ve had years of people calling me fat at school but recently my confidence had grown. This just put it back again. “

She also revealed how she applied to appear on The Apprentice and had been invited along for an audition but didn’t go after gaining a place on C4’s Coach Trip.

“Good job I didn’t go because I would probably have been too fat! I probably got thought because I only sent a head shot,” she quipped.

“I was genuinely a massive fan until this happened. How dare he say something like that! He’s not just putting me down but a lot of women!”

After winning her beauty title the model said she wanted to use her position to let other voluptuous women know that ‘you don’t have to be size zero to be a model, and you can be pretty and plus size at the same time’.

A spokesman for Lord Sugar said they would not be commenting on the Twitter remarks.